Emo Edward is in fine form in this chapter: "High school. Purgatory no longer. it was now purely hell. Torment and fire...yes, I had both."
He's determined to avoid having Alice's visions come true, so he tries to return to his life before Bella. Which mainly means going through his old routine but constantly thinking of Bella, watching her through others' thoughts, and ignoring her when she comes near. Standard high school behavior, you know.
It is kind of interesting to see Bella from an external perspective, and specifically from Edward's perspective. The original Twilight books are (mostly) from Bella's own point of view, and here we get more unpacking of why Edward likes her so much (other than the nice-smelling-blood thing). It's a shame it mainly boils down to her being ~not like other girls~.
Meanwhile, Edward develops a theory that Bella is a magnet for danger. His top evidence for this is his own attraction to her (lol). This is what he uses to justify sneaking into her room for the first time while she sleeps. He just wants to make sure she's safe.
As he watches Bella sleep, he realizes he's definitely in love with her (finally, he catches up!). He angsts for a while about how she'll never love him back and will one day marry some human guy who won't want to eat her (ahem), and then she says his name in her sleep, and it quite literally changes his life.
"I struggled to find words to name the feelings that flooded through me, but I had no words strong enough to hold them. For a long moment, I drowned in them. When I surfaced, I was not the same man I had been."
Folks, Edward Cullen is whipped. And he decides that maybe he can be with Bella without killing her or turning her into a vampire. He's found a whole new kind of thirst, and he wants to indulge it.
What's extra hilarious about the ensuing interactions between Edward and Bella is that Edward doesn't want to seem all creepy and intense around her, so he's constantly reminding himself to keep it light, when, really, he's about 0.2 seconds away from declaring his (literally) undying love for her at any given moment. Especially every time she bites her lip. Edward is really into that.